Step-by-step Maths Level 3: Fractions that are the same
Part of the Step-by-step Maths Level 3 halves and quarters chapter. Chapter overview · whole chapter on one page
Fractions that are the same
Some fractions look different but cover the same part of a shape. 2/4 and 1/2 are the same.
Two equal parts out of four cover the same part of a shape as one part out of two.
Key ideas
- 2/4 and 1/2 are the same.
- Different fractions can name the same part.
- Check by shading both shapes.
Method. Two fractions are the same when they cover the same part of a shape.
- Look at 1/2. We want a fraction with the same value.1/2
- Compare each option with the target. 2/4 covers the same part of a shape as 1/2.2/4
- Write the answer. This fraction is the same as the target.2/4
Check. Shade 1/2 and 2/4 on two shapes. They cover the same part.
Watch out. 2/4 and 1/2 are the same. Both mean the shape is split into halves.
Method. Two fractions are the same when they cover the same part of a shape.
- Look at 1/4. We want a fraction with the same value.1/4
- Compare each option with the target. 2/8 covers the same part of a shape as 1/4.2/8
- Write the answer. This fraction is the same as the target.2/8
Check. Shade 1/4 and 2/8 on two shapes. They cover the same part.
Watch out. 2/4 and 1/2 are the same. Both mean the shape is split into halves.
Method. Two fractions are the same when they cover the same part of a shape.
- Look at 1/3. We want a fraction with the same value.1/3
- Compare each option with the target. 2/6 covers the same part of a shape as 1/3.2/6
- Write the answer. This fraction is the same as the target.2/6
Check. Shade 1/3 and 2/6 on two shapes. They cover the same part.
Watch out. 2/4 and 1/2 are the same. Both mean the shape is split into halves.
Watch out
Watch out. 2/4 is the same as 1/2, but 3/4 is not. Check the shaded parts carefully.
Exam tip
Grown-up tip. Use paper strips: fold one into halves and another into quarters, and lay them on top of each other.
Exercise 8D Practice: fractions that are the same
Non-calculatorMethod. Two fractions are the same when they cover the same part of a shape.
- Look at 2/3. We want a fraction with the same value.2/3
- Compare each option with the target. 4/6 covers the same part of a shape as 2/3.4/6
- Write the answer. This fraction is the same as the target.4/6
Check. Shade 2/3 and 4/6 on two shapes. They cover the same part.
Watch out. 2/4 and 1/2 are the same. Both mean the shape is split into halves.
Method. Two fractions are the same when they cover the same part of a shape.
- Look at 1/2. We want a fraction with the same value.1/2
- Compare each option with the target. 2/4 covers the same part of a shape as 1/2.2/4
- Write the answer. This fraction is the same as the target.2/4
Check. Shade 1/2 and 2/4 on two shapes. They cover the same part.
Watch out. 2/4 and 1/2 are the same. Both mean the shape is split into halves.
Method. Two fractions are the same when they cover the same part of a shape.
- Look at 1/3. We want a fraction with the same value.1/3
- Compare each option with the target. 3/9 covers the same part of a shape as 1/3.3/9
- Write the answer. This fraction is the same as the target.3/9
Check. Shade 1/3 and 3/9 on two shapes. They cover the same part.
Watch out. 2/4 and 1/2 are the same. Both mean the shape is split into halves.
Method. Two fractions are the same when they cover the same part of a shape.
- Look at 3/4. We want a fraction with the same value.3/4
- Compare each option with the target. 9/12 covers the same part of a shape as 3/4.9/12
- Write the answer. This fraction is the same as the target.9/12
Check. Shade 3/4 and 9/12 on two shapes. They cover the same part.
Watch out. 2/4 and 1/2 are the same. Both mean the shape is split into halves.
Method. Two fractions are the same when they cover the same part of a shape.
- Look at 2/3. We want a fraction with the same value.2/3
- Compare each option with the target. 6/9 covers the same part of a shape as 2/3.6/9
- Write the answer. This fraction is the same as the target.6/9
Check. Shade 2/3 and 6/9 on two shapes. They cover the same part.
Watch out. 2/4 and 1/2 are the same. Both mean the shape is split into halves.
Method. Two fractions are the same when they cover the same part of a shape.
- Look at 3/4. We want a fraction with the same value.3/4
- Compare each option with the target. 9/12 covers the same part of a shape as 3/4.9/12
- Write the answer. This fraction is the same as the target.9/12
Check. Shade 3/4 and 9/12 on two shapes. They cover the same part.
Watch out. 2/4 and 1/2 are the same. Both mean the shape is split into halves.
Method. Two fractions are the same when they cover the same part of a shape.
- Look at 3/4. We want a fraction with the same value.3/4
- Compare each option with the target. 9/12 covers the same part of a shape as 3/4.9/12
- Write the answer. This fraction is the same as the target.9/12
Check. Shade 3/4 and 9/12 on two shapes. They cover the same part.
Watch out. 2/4 and 1/2 are the same. Both mean the shape is split into halves.
Method. Two fractions are the same when they cover the same part of a shape.
- Look at 2/3. We want a fraction with the same value.2/3
- Compare each option with the target. 8/12 covers the same part of a shape as 2/3.8/12
- Write the answer. This fraction is the same as the target.8/12
Check. Shade 2/3 and 8/12 on two shapes. They cover the same part.
Watch out. 2/4 and 1/2 are the same. Both mean the shape is split into halves.
Method. Two fractions are the same when they cover the same part of a shape.
- Look at 1/2. We want a fraction with the same value.1/2
- Compare each option with the target. 2/4 covers the same part of a shape as 1/2.2/4
- Write the answer. This fraction is the same as the target.2/4
Check. Shade 1/2 and 2/4 on two shapes. They cover the same part.
Watch out. 2/4 and 1/2 are the same. Both mean the shape is split into halves.
Method. Two fractions are the same when they cover the same part of a shape.
- Look at 1/3. We want a fraction with the same value.1/3
- Compare each option with the target. 4/12 covers the same part of a shape as 1/3.4/12
- Write the answer. This fraction is the same as the target.4/12
Check. Shade 1/3 and 4/12 on two shapes. They cover the same part.
Watch out. 2/4 and 1/2 are the same. Both mean the shape is split into halves.
Method. Two fractions are the same when they cover the same part of a shape.
- Look at 1/5. We want a fraction with the same value.1/5
- Compare each option with the target. 2/10 covers the same part of a shape as 1/5.2/10
- Write the answer. This fraction is the same as the target.2/10
Check. Shade 1/5 and 2/10 on two shapes. They cover the same part.
Watch out. 2/4 and 1/2 are the same. Both mean the shape is split into halves.
Method. Two fractions are the same when they cover the same part of a shape.
- Look at 2/3. We want a fraction with the same value.2/3
- Compare each option with the target. 8/12 covers the same part of a shape as 2/3.8/12
- Write the answer. This fraction is the same as the target.8/12
Check. Shade 2/3 and 8/12 on two shapes. They cover the same part.
Watch out. 2/4 and 1/2 are the same. Both mean the shape is split into halves.
Method. Two fractions are the same when they cover the same part of a shape.
- Look at 3/4. We want a fraction with the same value.3/4
- Compare each option with the target. 6/8 covers the same part of a shape as 3/4.6/8
- Write the answer. This fraction is the same as the target.6/8
Check. Shade 3/4 and 6/8 on two shapes. They cover the same part.
Watch out. 2/4 and 1/2 are the same. Both mean the shape is split into halves.
Method. Two fractions are the same when they cover the same part of a shape.
- Look at 1/3. We want a fraction with the same value.1/3
- Compare each option with the target. 4/12 covers the same part of a shape as 1/3.4/12
- Write the answer. This fraction is the same as the target.4/12
Check. Shade 1/3 and 4/12 on two shapes. They cover the same part.
Watch out. 2/4 and 1/2 are the same. Both mean the shape is split into halves.
Method. Two fractions are the same when they cover the same part of a shape.
- Look at 3/4. We want a fraction with the same value.3/4
- Compare each option with the target. 9/12 covers the same part of a shape as 3/4.9/12
- Write the answer. This fraction is the same as the target.9/12
Check. Shade 3/4 and 9/12 on two shapes. They cover the same part.
Watch out. 2/4 and 1/2 are the same. Both mean the shape is split into halves.
Method. Two fractions are the same when they cover the same part of a shape.
- Look at 3/4. We want a fraction with the same value.3/4
- Compare each option with the target. 9/12 covers the same part of a shape as 3/4.9/12
- Write the answer. This fraction is the same as the target.9/12
Check. Shade 3/4 and 9/12 on two shapes. They cover the same part.
Watch out. 2/4 and 1/2 are the same. Both mean the shape is split into halves.